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Prove that in any metric space finite intersection of open sets is open re the...

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Prove that in any metric space finite intersection of open sets is open re the following sets open or closed in a b for any fe C a b xe a b 2 f x 3 xe a b 3 f x or f x 1

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Prove that in any metric space finite intersection of open sets is open re the following sets open or closed in a b for any fe C a b xe a b 2 f x 3 xe a b 3 f x or f x 1

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